Suppose that there are n=108 two-state systems, each with energy difference e=6 × 10-21 j between the two states. the environment temperature is 300 k. the number of systems in their high energy states is m. therefore, the free energy is a function of m: f(m).what is du/dm?

As part of your daily workout, you lie on your back and push with your feet against a platform attached to two stiff springs arranged side by side so that they are parallel to each other. when you push the platform, you compress the springs. you do an amount of work of 79.0 j when you compress the springs a distance of 0.230 m from their uncompressed length. (a) what magnitude of force must you apply to hold the platform in this position? (b)how much additional work must you do to move the platform a distance 0.230 m farther? (c) what maximum force must you apply to move the platform a distance 0.230 m farther?